We're dividing 101683 by 59 
Our goal is to divide 101683 by 59.

Step 1:
When dividing 1 by 59, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 59

Let's proceed to step 2:
The number 59 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 59

Let's proceed to step 3:
59 can be fit into 101 1 times, resulting in a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 59 from 101 leaves us with 42.
Append the next digit (6) from the dividend to 42 and continue with: 426 / 59

On to step 4:
59 goes into 426 7 times with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtract 413 from 426 to get 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 59

Advancing to step 5:
If we divide 138 by 59, we get 2 and a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 172.0
Subtracting 118 from 138 leaves us with 20.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 59

Step 6:
59 can be fit into 203 3 times, resulting in a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 1723.0
If we subtract 177 from 203, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
59 goes into 260 4 times with a remainder of 24.
The next digit of our result is 4. 
Result so far: 1723.4
Subtracting 236 from 260 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 8:
If we divide 240 by 59, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 1723.44
If we subtract 236 from 240, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 1723.44 with a remaining 0.004.